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4 years ago

7

Which number is between 1/6 and 0.25?

2 answers:

weqwewe [10]4 years ago

8 0

Answer:

5/24 IS THE ACORRECT ANSWER, just took trest!

Step-by-step explanation:

Ray Of Light [21]4 years ago

4 0

If you change both to a fraction you would see that you have 1/6 and 1/4 (.25 as a fraction). So 1/5 would be in between them.

You could also change both as a decimal. 1/6 =.166666 and .25 so any number in between them would be correct such as .2 which is the same as 1/5.

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Determine the radius of convergence of the following power series. Then test the endpoints to determine the interval of converge

tresset_1 [31]

Answer:

Radius of the convergence is R = $\frac{1}{21}$

and,

The Interval of convergence is $-\frac{1}{21}$

Step-by-step explanation:

Given function : Σ(21x)^k

Now,

Using the ratio test, we have

R = $\lim_{n \to \infty} |\frac{21x^{k+1}}{21x^{k}}|$

or

R = $\lim_{n \to \infty} |\frac{21x^{k}\times21x^{1}}{21x^{k}}|$

or

R = $\lim_{n \to \infty} |21x^{1}|$

now,

for convergence R|x| < 1

Therefore,

$\lim_{n \to \infty} |21x^{1}|$ < 1

or

$-\frac{1}{21}$

and,

Radius of the convergence is R = $\frac{1}{21}$

and,

The Interval of convergence is $-\frac{1}{21}$

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